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Wewaii [24]
3 years ago
10

What is the solution to the system shown?

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

c

Step-by-step explanation:

Rewrite equations:

y=x+4;−2x+y=−1

Step: Solvey=x+4for y:

y=x+4

Step: Substitutex+4foryin−2x+y=−1:

−2x+y=−1

−2x+x+4=−1

−x+4=−1(Simplify both sides of the equation)

−x+4+−4=−1+−4(Add -4 to both sides)

−x=−5

−x

−1

=

−5

−1

(Divide both sides by -1)

x=5

Step: Substitute5forxiny=x+4:

y=x+4

y=5+4

y=9(Simplify both sides of the equation)

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Find the solution set.2x^2+3x=2 separate the two values with a comma.
inna [77]

Answer:

x = -2, 1/2

Step-by-step explanation:

Step 1: Isolate everything to 1 side

2x² + 3x - 2 = 0

Step 2: Factor

(2x - 1)(x + 2) = 0

Step 3: Find roots

2x - 1 = 0

2x = 1

x = 1/2

x + 2 = 0

x = -2

5 0
3 years ago
You work for 4 hours on Saturday and 8 hours on Sunday. You also receive a $50 bonus. You earn $164. How much did you earn per h
masya89 [10]

Answer:

Step-by-step explanation:

To find the hourly rate, we would first need to take the total earnings and subtract the bonus.

 

$164 - $50 = 114

 

This gives us the total money earned for hourly work.

 

Then we need to add the total hours worked: 4 + 8 = 12.

 

Lastly, we need to take the total money earned and divide it by the total hours worked: 114 / 12 = 9.50 or $9.50 per hour.

 

The equation could look like:

 

4h + 8h + $50 = $165

5 0
3 years ago
What percent of the current number of states had joined<br> the United States by the year 1863?
sukhopar [10]

we know the 100% is 50 today, by 1863 there were 35, so what is 35 in percentage off 50?

\begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 35&x \end{array}\implies \cfrac{50}{35}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x=\cfrac{700}{10}\implies x=70

7 0
2 years ago
The meteorologist made a forecast that a cold front was coming through and the temperature would steadily drop 12.2 degrees over
vodka [1.7K]

Answer: the answer is c

Step-by-step explanation: your welcome

5 0
2 years ago
Write the percent as a decimal.<br> 3.7​%
scoray [572]

1 To convert to a decimal, divide the percent number by 100

3.7÷100=0.037


2 Therefore, the decimal form is

0.037

Answer: 0.037

5 0
4 years ago
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